Details

sample111.0ms

Algorithm

intervals

Results

29.0ms	58×	body	10240	exit
23.0ms	44×	body	1280	valid
15.0ms	50×	body	640	valid
7.0ms	108×	body	80	valid
7.0ms	34×	body	320	valid
5.0ms	3×	body	2560	valid
3.0ms	82×	body	80	nan
2.0ms	19×	body	160	valid
1.0ms	6×	body	640	nan
1.0ms	3×	body	1280	nan
1.0ms	5×	body	320	nan
0.0ms	4×	body	160	nan

simplify224.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	7
1	35	7
2	53	7
3	81	7
4	121	7
5	250	7
6	314	7
7	532	7
8	908	7
9	1397	7
10	1553	7
11	1892	7
12	4682	7
13	5001	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 25.2b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.7b	(log (+ (- 1.0 y) (* y (exp z))))
4.2b	(+ (- 1.0 y) (* y (exp z)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
69×	`add-sqr-sqrt`
62×	`add-cube-cbrt`
57×	`prod-diff`
49×	`times-frac`
18×	`pow1`
14×	`log-pow`
11×	`associate-+l+` `add-log-exp`
8×	`distribute-lft-out`
7×	`add-exp-log` `log-prod`
6×	`log-div` `add-cbrt-cube` `distribute-lft-out--`
5×	`fma-def`
4×	`expm1-log1p-u` `flip3-+` `div-sub` `associate-l` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l*`
3×	`fma-neg` `associate-/r*` `difference-of-squares`
2×	`sub-neg` `diff-log` `sum-log` `associate--r-`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `flip3--` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `flip--`

Counts

4 → 160

Calls

4 calls:

10.0ms	(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
12.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
11.0ms	(log (+ (- 1.0 y) (* y (exp z))))
17.0ms	(+ (- 1.0 y) (* y (exp z)))

series342.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
152.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
74.0ms	(log (+ (- 1.0 y) (* y (exp z))))
39.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify94.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	767	3394
1	2882	2299
2	5002	2056

prune420.0ms

Filtered

172 candidates to 103 candidates (59.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	162	10	172
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	163	10	173

Merged error: 4.8b

Counts

173 → 10

localize9.0ms

Local error

Found 1 expressions with local error:

4.3b	(/ (* z y) t)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
34×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r` `associate-l` `associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
4×	`*-commutative` `unswap-sqr`
3×	`associate-/r*`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 67

Calls

1 calls:

7.0ms

(/ (* z y) t)

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(/ (* z y) t)

simplify39.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	264	343
1	1153	328
2	5001	328

prune234.0ms

Filtered

70 candidates to 53 candidates (75.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	65	15	80

Merged error: 4.2b

Counts

80 → 15

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
4.0b	(/ (* z (* (cbrt y) (cbrt y))) (* (cbrt t) (cbrt t)))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

1920×	`add-sqr-sqrt`
1345×	`cbrt-prod`
1194×	`associate-r`
1188×	`times-frac`
720×	`add-cube-cbrt` `*-un-lft-identity`
656×	`unswap-sqr`
522×	`associate-l`
494×	`swap-sqr`
129×	`*-commutative`
89×	`add-cbrt-cube`
69×	`cbrt-unprod`
44×	`associate-/l*`
30×	`cbrt-undiv`
27×	`associate-/r*`
25×	`add-exp-log`
9×	`prod-exp`
6×	`div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

4 → 1346

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
55.0ms	(/ (* z (* (cbrt y) (cbrt y))) (* (cbrt t) (cbrt t)))

series614.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt t)
180.0ms	(cbrt t)
172.0ms	(cbrt t)
85.0ms	(/ (* z (* (cbrt y) (cbrt y))) (* (cbrt t) (cbrt t)))

simplify261.0ms

Algorithm

egg-herbie

Counts

1358 → 1358

Iterations

Useful iterations: 1 (76.0ms)

Iter	Nodes	Cost
0	4749	20932
1	5001	20819

prune3.7s

Filtered

1358 candidates to 677 candidates (49.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	1355	3	1358
Fresh	3	11	14
Picked	1	0	1
Done	0	0	0
Total	1359	14	1373

Merged error: 4.2b

Counts

1373 → 14

localize9.0ms

Local error

Found 1 expressions with local error:

6.6b	(/ y (/ t z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
45×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
9×	`associate-/r/`
6×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp`
2×	`frac-2neg` `clear-num`
1×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

1 → 80

Calls

1 calls:

7.0ms

(/ y (/ t z))

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(/ y (/ t z))

simplify47.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	338	475
1	1419	455
2	5001	454

prune236.0ms

Filtered

83 candidates to 66 candidates (79.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	83	14	97

Merged error: 4.2b

Counts

97 → 14

regimes858.0ms

Accuracy

50.2% (6.5b remaining)

Error of 10.5b against oracle of 4.1b and baseline of 17.0b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	80
1	57	80
2	57	80

end0.0ms

sample3.1s

Algorithm

intervals

Results

801.0ms	1498×	body	1280	valid
750.0ms	1480×	body	10240	exit
458.0ms	1516×	body	640	valid
216.0ms	3564×	body	80	valid
170.0ms	893×	body	320	valid
90.0ms	70×	body	2560	valid
90.0ms	2331×	body	80	nan
55.0ms	489×	body	160	valid
49.0ms	247×	body	640	nan
37.0ms	116×	body	1280	nan
29.0ms	206×	body	320	nan
9.0ms	109×	body	160	nan